Nodal lines and nodal loops in non-symmorphic odd-parity superconductors

Abstract

We discuss the nodal structure of odd-parity superconductors in the presence of non-symmorphic crystal symmetries, both with and without spin-orbit coupling, and with and without time reversal symmetry. We comment on the relation of our work to previous work in the literature, and also the implications for unconventional superconductors such as UPt${}_3$.

arXiv comment6 pages, 2 figures

References in corpus (9)

• Superconducting phases of f-electron compounds
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Topological Blount's theorem of odd-parity superconductors
• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• Topologically stable gapless phases in nonsymmorphic superconductors
• Odd Parity and Line Nodes in Non-Symmorphic Superconductors
• The Fermi surface and f-valence electron count of UPt3
• Symmetry protected line nodes in non-symmorphic magnetic space groups: Applications to UCoGe and UPd${}_2$Al${}_3$
• Odd Parity and Line Nodes in Heavy Fermion Superconductors

Cited by in corpus (13)

• Unconventional superconducting gap structure protected by space group symmetry
• Multipole superconductivity in nonsymmorphic Sr${}_2$IrO${}_4$
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Möbius topological superconductivity in UPt${}_3$
• Symmetry enforced line nodes in unconventional superconductors
• Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Superconductivity of anomalous pseudospin
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors
• Movable but not removable band degeneracies in a symmorphic crystal
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Supercurrent-Induced Weyl Superconductivity